LCM for 45 and 67

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 45 and 67?

Answer: LCM of 45 and 67 is 3,015

(Three thousand, fifteen)

Finding LCM for 45 and 67 using GCF's of these numbers

The first method to find LCM for numbers 45 and 67 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 67 is 1, so

LCM = (45 × 67) ÷ 1

LCM = 3015 ÷ 1

LCM = 3015

Finding LCM for 45 and 67 by Listing Multiples

The second method to find LCM for numbers 45 and 67 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260, 1305, 1350, 1395, 1440, 1485, 1530, 1575, 1620, 1665, 1710, 1755, 1800, 1845, 1890, 1935, 1980, 2025, 2070, 2115, 2160, 2205, 2250, 2295, 2340, 2385, 2430, 2475, 2520, 2565, 2610, 2655, 2700, 2745, 2790, 2835, 2880, 2925, 2970, 3015, 3060, 3105

Multiples of 67: 67, 134, 201, 268, 335, 402, 469, 536, 603, 670, 737, 804, 871, 938, 1005, 1072, 1139, 1206, 1273, 1340, 1407, 1474, 1541, 1608, 1675, 1742, 1809, 1876, 1943, 2010, 2077, 2144, 2211, 2278, 2345, 2412, 2479, 2546, 2613, 2680, 2747, 2814, 2881, 2948, 3015, 3082, 3149

So the LCM for 45 and 67 is 3015

Finding LCM for 45 and 67 by Prime Factorization

Another method to find LCM for numbers 45 and 67 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 32, 51)

All Prime Factors of 67: 67 (exponent form: 671)

32 × 51 × 671 = 3015

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LCM Table

Number 1Number 2LCM
30672010
31672077
32672144
33672211
34672278
35672345
36672412
37672479
38672546
39672613
40672680
41672747
42672814
43672881
44672948
45673015
46673082
47673149
48673216
49673283
50673350
51673417
52673484
53673551
54673618
55673685
56673752
57673819
58673886
59673953

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 45 and 67? (The answer is: 3015). Select the first number (e.g. '45') and the second number (e.g. '67'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 45 and 67?

LCM of 45 and 67 is 3,015

See Also